In order to improve the energy consumption of the link nodes in the deployment process of terahertz nano sensor network, the difficulty of data exchange between the inner and outer layers and the low transmission performance, an energy hole repair algorithm based on the chain clustering game mechanism is proposed. First of all, based on the equidistant division model, a kind of equidistant ring structure is designed to improve the link performance of nodes rapidly. By exchanging and transmitting data between the inner and outer nodes of the equidistant ring structure, the interaction quality between the inner and outer layers of the data is optimized. By polling and balancing the energy consumption of the inner nodes, a new chain clustering game mechanism based on the prediction scheme of energy hole formation is designed to share the energy. Then, based on the idea of flow balance, an optimization method of balanced consumption based on energy controllable is designed to improve the energy consumption level of nodes at different levels, enhance the adaptability of nodes to energy constraints, and avoid the risk of node constraints. The simulation results show that compared with the current energy-saving scheme based on dynamic clustering mechanism and the scheme based on affinity propagation considering the residual energy of nodes and reducing the burden of cluster head, the algorithm in this paper has a higher network life cycle, a lower number of data transmission rounds and a lower degree of node restriction.